Limit Theorems for the Volume of Random Projections and Sections of ${\ell }_p^N$-balls

Joscha Prochno, Christoph Thaele, Philipp Tuchel

Let ${\mathbb{B}}_p^N$ be the $N$-dimensional unit ball corresponding to the ${\ell }_p$-norm. For each $N\in \mathbb{N}$ we sample a uniform random subspace $E_N$ of fixed dimension $m\i…